Federico Zullo

collaborators

2 papers

math.CA2024

Lommel functions, Padé approximants and hypergeometric functions

Federico Zullo

We consider the Lommel functions $s_{μ, ν} (z)$ for different values of the parameters $(μ, ν)$ . We show that if $(μ, ν)$ are half integers, then it is possible to describe these funct…

math.CA2023

Integral representations and zeros of the Lommel function and the hypergeometric $_{1} F_{2}$ function

Federico Zullo

We give different integral representations of the Lommel function $s_{μ, ν} (z)$ involving trigonometric and hypergeometric $_{2} F_{1}$ functions. By using classical results of Polya, we…

Lommel functions, Padé approximants and hypergeometric functions

Integral representations and zeros of the Lommel function and the hypergeometric 1​F2​ function

Integral representations and zeros of the Lommel function and the hypergeometric $_{1} F_{2}$ function